Is "be parented to" grammatically correct?

When "parent" is used as a transitive verb, it should be grammatically correct to use "be parented by" as in the examples in the following pages:

• https://www.lexico.com/definition/parent
• https://docs.microsoft.com/en-us/dotnet/api/microsoft.build.construction.projectelementcontainer.insertbeforechild?view=msbuild-16-netcore

However, I see some usage of "be parented to" in technical documentation or discussion, such as the following:

• https://help.autodesk.com/cloudhelp/2016/ENU/Maya-Tech-Docs/Commands/parent.html
• https://answers.unity.com/questions/172804/determining-what-an-object-is-parented-to.html
• https://devforum.roblox.com/t/attachment-must-be-parented-to-partinstance/613870

There seem to be more pages using this construction, but I’m not sure it’s a syntactically proper expression.

Is "be parented to" grammatically correct? If so, could you explain the meaning of it (in comparison to "be parented by")?